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20012334134200 = 2352439832367259
BaseRepresentation
bin1001000110011011111000…
…00100010011001110111000
32121212011022222022102221221
410203031330010103032320
510110340230014243300
6110321312301241424
74133562203312542
oct443157404231670
977764288272857
1020012334134200
116416201997681
1222b2636263274
13b22202737cb5
144d28603b6692
1524a877b0931a
hex12337c1133b8

20012334134200 has 96 divisors (see below), whose sum is σ = 47659193366400. Its totient is φ = 7810815116160.

The previous prime is 20012334134179. The next prime is 20012334134213. The reversal of 20012334134200 is 243143321002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7270171 + ... + 9637429.

It is an arithmetic number, because the mean of its divisors is an integer number (496449930900).

Almost surely, 220012334134200 is an apocalyptic number.

20012334134200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012334134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23829596683200).

20012334134200 is an abundant number, since it is smaller than the sum of its proper divisors (27646859232200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20012334134200 is a wasteful number, since it uses less digits than its factorization.

20012334134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368301 (or 2368292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20012334134200 its reverse (243143321002), we get a palindrome (20255477455202).

The spelling of 20012334134200 in words is "twenty trillion, twelve billion, three hundred thirty-four million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 983 1075 1720 1966 2150 3932 4300 4915 7864 8600 9830 19660 24575 39320 42269 49150 84538 98300 169076 196600 211345 338152 422690 845380 1056725 1690760 2113450 2367259 4226900 4734518 8453800 9469036 11836295 18938072 23672590 47345180 59181475 94690360 101792137 118362950 203584274 236725900 407168548 473451800 508960685 814337096 1017921370 2035842740 2327015597 2544803425 4071685480 4654031194 5089606850 9308062388 10179213700 11635077985 18616124776 20358427400 23270155970 46540311940 58175389925 93080623880 100061670671 116350779850 200123341342 232701559700 400246682684 465403119400 500308353355 800493365368 1000616706710 2001233413420 2501541766775 4002466826840 5003083533550 10006167067100 20012334134200